Finding the Third Proportional to 5,677,818 and 8,514,642

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677,818 : 8,514,642 = 8,514,642 : x
2. Step 2: Convert to fraction form
   5,677,818/8,514,642 = 8,514,642/x
3. Step 3: Cross multiply
   5,677,818x = 8,514,642 × 8,514,642
4. Step 4: Simplify right side
   5,677,818x = 72,499,128,388,164
5. Step 5: Solve for x
   x = 72,499,128,388,164/5,677,818
6. Step 6: Final answer
   x = 12,768,836.27